Subgroups — C₁₃₇×#28831 #46878217

Order 35072.

606 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2570×C₁₃₇	C₂	1	2	yes	maximal
2	#2085×C₁₃₇	C₂	1	2	yes	maximal
3	#2083×C₁₃₇	C₂	1	2	yes	maximal
4	#1949×C₁₃₇	C₂	1	2	yes	maximal
5	#1941×C₁₃₇	C₂	1	1	yes	maximal, characteristic
6	#1941×C₁₃₇	C₂	1	1	yes	maximal, characteristic
7	#1846×C₁₃₇	C₂	1	1	yes	maximal, characteristic
8	#1846×C₁₃₇	C₂	1	1	yes	maximal, characteristic
9	#1844×C₁₃₇	C₂	1	1	yes	maximal, characteristic
10	C₄×#106×C₁₃₇	C₂	1	1	yes	maximal, characteristic
11	C₈×C₄⋊C₄×C₁₃₇	C₂	1	1	yes	maximal, characteristic
12	C₂×#107×C₁₃₇	C₂²	1	2	yes	—
13	C₂×#107×C₁₃₇	C₂²	1	2	yes	—
14	C₂×#106×C₁₃₇	C₂²	1	1	yes	characteristic
15	C₂×#106×C₁₃₇	C₂²	1	1	yes	characteristic
16	C₂×#106×C₁₃₇	C₂²	1	1	yes	characteristic
17	C₂×#106×C₁₃₇	C₂²	1	1	yes	characteristic
18	C₂×#106×C₁₃₇	C₂²	1	2	yes	—
19	C₂×C₄⋊C₈×C₁₃₇	C₂²	1	1	yes	characteristic
20	C₂×C₄×C₈×C₁₃₇	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₈×C₁₃₇	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₈×C₁₃₇	C₂²	1	1	yes	characteristic
23	#400×C₁₃₇	—	2	2	no	—
24	#398×C₁₃₇	—	2	2	no	—
25	#389×C₁₃₇	C₂²	1	2	yes	—
26	#389×C₁₃₇	C₂²	1	2	yes	—
27	#387×C₁₃₇	—	2	2	no	—
28	#387×C₁₃₇	—	2	2	no	—
29	#384×C₁₃₇	C₂²	1	2	yes	—
30	#382×C₁₃₇	C₂²	1	2	yes	—
31	#382×C₁₃₇	C₂²	1	2	yes	—
32	C₄×C₄⋊C₄×C₁₃₇	C₂²	1	2	yes	—
33	C₄×C₄⋊C₄×C₁₃₇	C₂²	1	1	yes	characteristic
34	#340×C₁₃₇	C₂²	1	2	yes	—
35	#340×C₁₃₇	C₂²	1	2	yes	—
36	#340×C₁₃₇	C₂²	1	2	yes	—
37	#336×C₁₃₇	C₂²	1	1	yes	characteristic
38	#336×C₁₃₇	C₂²	1	1	yes	characteristic
39	C₂²×C₈×C₁₃₇	C₂³	1	1	yes	characteristic
40	C₂²×C₈×C₁₃₇	C₂³	1	1	yes	characteristic
41	C₂²×C₈×C₁₃₇	C₂³	1	1	yes	characteristic
42	C₂²×C₈×C₁₃₇	C₂³	1	1	yes	characteristic
43	C₂×C₄⋊C₄×C₁₃₇	—	2	2	no	—
44	C₂×C₄⋊C₄×C₁₃₇	—	2	2	no	—
45	C₂×C₄⋊C₄×C₁₃₇	—	2	2	no	—
46	C₂×C₄⋊C₄×C₁₃₇	—	2	2	no	—
47	C₂×C₄⋊C₄×C₁₃₇	D₄	1	2	yes	—
48	C₂×C₄⋊C₄×C₁₃₇	C₂³	1	2	yes	—
49	C₂×C₄⋊C₄×C₁₃₇	C₂³	1	2	yes	—
50	C₂×C₄⋊C₄×C₁₃₇	C₂³	1	2	yes	—
51	C₂×C₄⋊C₄×C₁₃₇	C₂³	1	2	yes	—
52	C₂×C₄²×C₁₃₇	—	2	2	no	—
53	C₂×C₄²×C₁₃₇	C₂³	1	1	yes	characteristic
54	C₂×C₄²×C₁₃₇	C₂³	1	1	yes	characteristic
55	C₂×C₄²×C₁₃₇	C₂³	1	1	yes	characteristic
56	#107×C₁₃₇	—	4	2	no	—
57	#107×C₁₃₇	—	4	2	no	—
58	#106×C₁₃₇	—	2	2	no	—
59	#106×C₁₃₇	—	2	2	no	—
60	#106×C₁₃₇	—	2	2	no	—
61	#106×C₁₃₇	—	2	2	no	—
62	#106×C₁₃₇	—	4	2	no	—
63	C₄⋊C₈×C₁₃₇	Q₈	1	4	yes	—
64	C₄×C₈×C₁₃₇	—	2	2	no	—
65	C₄×C₈×C₁₃₇	—	2	2	no	—
66	C₄×C₈×C₁₃₇	Q₈	1	4	yes	—
67	#95×C₁₃₇	—	2	2	no	—
68	#95×C₁₃₇	—	2	2	no	—
69	#95×C₁₃₇	—	2	2	no	—
70	#95×C₁₃₇	—	2	2	no	—
71	#95×C₁₃₇	—	2	2	no	—
72	#95×C₁₃₇	—	2	2	no	—
73	#95×C₁₃₇	—	2	2	no	—
74	#95×C₁₃₇	D₄	1	2	yes	—
75	C₂²×C₄×C₁₃₇	—	2	2	no	—
76	C₂²×C₄×C₁₃₇	—	2	2	no	—
77	C₂²×C₄×C₁₃₇	—	2	2	no	—
78	C₂²×C₄×C₁₃₇	—	2	2	no	—
79	C₂²×C₄×C₁₃₇	C₂×D₄	1	2	yes	—
80	C₂²×C₄×C₁₃₇	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₃₇	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₃₇	C₂×D₄	1	2	yes	—
83	C₂²×C₄×C₁₃₇	C₂⁴	1	1	yes	characteristic
84	C₂×C₈×C₁₃₇	—	2	1	no	—
85	C₂×C₈×C₁₃₇	—	2	1	no	—
86	C₂×C₈×C₁₃₇	—	2	1	no	—
87	C₂×C₈×C₁₃₇	—	2	1	no	—
88	C₂×C₈×C₁₃₇	—	2	1	no	—
89	C₂×C₈×C₁₃₇	—	2	1	no	—
90	C₂×C₈×C₁₃₇	C₂×Q₈	1	2	yes	—
91	C₂×C₈×C₁₃₇	C₂×Q₈	1	2	yes	—
92	C₂×C₈×C₁₃₇	C₂×Q₈	1	2	yes	—
93	C₂×C₈×C₁₃₇	C₂×Q₈	1	2	yes	—
94	C₂×C₈×C₁₃₇	#41	1	2	yes	—
95	C₂×C₈×C₁₃₇	#41	1	2	yes	—
96	C₄⋊C₄×C₁₃₇	—	2	4	no	—
97	C₄⋊C₄×C₁₃₇	—	2	2	no	—
98	C₄⋊C₄×C₁₃₇	—	2	2	no	—
99	C₄⋊C₄×C₁₃₇	—	2	2	no	—
100	C₄⋊C₄×C₁₃₇	—	2	2	no	—
101	C₄⋊C₄×C₁₃₇	—	2	2	no	—
102	C₄⋊C₄×C₁₃₇	—	2	2	no	—
103	C₄⋊C₄×C₁₃₇	—	2	2	no	—
104	C₄⋊C₄×C₁₃₇	—	2	2	no	—
105	C₄⋊C₄×C₁₃₇	—	4	4	no	—
106	C₄⋊C₄×C₁₃₇	—	4	4	no	—
107	C₄⋊C₄×C₁₃₇	—	8	2	no	—
108	C₄⋊C₄×C₁₃₇	—	8	2	no	—
109	C₄²×C₁₃₇	—	2	1	no	—
110	C₄²×C₁₃₇	—	2	1	no	—
111	C₄²×C₁₃₇	—	2	1	no	—
112	C₄²×C₁₃₇	—	2	1	no	—
113	C₄²×C₁₃₇	—	8	2	no	—
114	C₄²×C₁₃₇	C₂×Q₈	1	2	yes	—
115	C₄²×C₁₃₇	C₂×Q₈	1	2	yes	—
116	C₂³×C₁₃₇	C₂²×D₄	1	1	yes	characteristic
117	C₂×C₄×C₁₃₇	—	2	2	no	—
118	C₂×C₄×C₁₃₇	—	2	2	no	—
119	C₂×C₄×C₁₃₇	—	2	2	no	—
120	C₂×C₄×C₁₃₇	—	2	2	no	—
121	C₂×C₄×C₁₃₇	—	2	2	no	—
122	C₂×C₄×C₁₃₇	—	2	2	no	—
123	C₂×C₄×C₁₃₇	—	2	2	no	—
124	C₂×C₄×C₁₃₇	—	4	2	no	—
125	C₂×C₄×C₁₃₇	—	4	2	no	—
126	C₂×C₄×C₁₃₇	—	4	2	no	—
127	C₂×C₄×C₁₃₇	—	4	2	no	—
128	C₂×C₄×C₁₃₇	—	4	2	no	—
129	C₂×C₄×C₁₃₇	—	4	2	no	—
130	C₂×C₄×C₁₃₇	—	4	2	no	—
131	C₂×C₄×C₁₃₇	—	4	2	no	—
132	C₂×C₄×C₁₃₇	—	4	2	no	—
133	C₂×C₄×C₁₃₇	—	4	2	no	—
134	C₂×C₄×C₁₃₇	—	4	2	no	—
135	C₂×C₄×C₁₃₇	—	4	2	no	—
136	C₂×C₄×C₁₃₇	C₄⋊Q₈	1	2	yes	—
137	C₂×C₄×C₁₃₇	C₄⋊Q₈	1	2	yes	—
138	C₂×C₄×C₁₃₇	#135	1	4	yes	—
139	C₂×C₄×C₁₃₇	C₂²×Q₈	1	1	yes	characteristic
140	C₂×C₄×C₁₃₇	C₂²×Q₈	1	1	yes	characteristic
141	C₂×C₄×C₁₃₇	C₂×#41	1	1	yes	characteristic
142	C₂×C₄×C₁₃₇	C₂×#41	1	1	yes	characteristic
143	C₂×C₄×C₁₃₇	H(5,𝔽₂)	1	1	yes	characteristic
144	C₂×C₄×C₁₃₇	2₋¹⁺⁴	1	1	yes	characteristic
145	C₈×C₁₃₇	—	2	2	no	—
146	C₈×C₁₃₇	—	2	2	no	—
147	C₈×C₁₃₇	—	2	2	no	—
148	C₈×C₁₃₇	#125	1	4	yes	—
149	C₂²×C₁₃₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
150	C₂²×C₁₃₇	#547	1	1	yes	characteristic
151	C₂²×C₁₃₇	#550	1	1	yes	characteristic
152	C₂²×C₁₃₇	C₂×#135	1	2	yes	—
153	C₂²×C₁₃₇	#577	1	2	yes	—
154	C₄×C₁₃₇	—	2	4	no	—
155	C₄×C₁₃₇	—	2	2	no	—
156	C₄×C₁₃₇	—	2	2	no	—
157	C₄×C₁₃₇	—	4	2	no	—
158	C₄×C₁₃₇	—	8	2	no	—
159	C₄×C₁₃₇	—	8	2	no	—
160	C₄×C₁₃₇	—	8	2	no	—
161	C₄×C₁₃₇	—	8	2	no	—
162	C₄×C₁₃₇	C₂×#125	1	1	yes	characteristic
163	C₄×C₁₃₇	#544	1	1	yes	characteristic
164	C₄×C₁₃₇	#554	1	1	yes	characteristic
165	C₄×C₁₃₇	#557	1	1	yes	characteristic
166	C₂×C₁₃₇	#2552	1	1	yes	characteristic
167	C₂×C₁₃₇	#3160	1	1	yes	characteristic
168	C₂×C₁₃₇	#3163	1	1	yes	characteristic
169	C₂×C₁₃₇	#3337	1	2	yes	—
170	C₂×C₁₃₇	#3394	1	2	yes	—
171	#28831	C₁₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
172	C₁₃₇	#28831	1	1	yes	characteristic, direct product factor, Sylow
173	#2570	C₂×C₁₃₇	1	2	yes	—
174	#2085	C₂×C₁₃₇	1	2	yes	—
175	#2083	C₂×C₁₃₇	1	2	yes	—
176	#1949	C₂×C₁₃₇	1	2	yes	—
177	#1941	C₂×C₁₃₇	1	1	yes	characteristic
178	#1941	C₂×C₁₃₇	1	1	yes	characteristic
179	#1846	C₂×C₁₃₇	1	1	yes	characteristic
180	#1846	C₂×C₁₃₇	1	1	yes	characteristic
181	#1844	C₂×C₁₃₇	1	1	yes	characteristic
182	C₄×#106	C₂×C₁₃₇	1	1	yes	characteristic
183	C₈×C₄⋊C₄	C₂×C₁₃₇	1	1	yes	characteristic
184	C₂×#107	C₂²×C₁₃₇	1	2	yes	—
185	C₂×#107	C₂²×C₁₃₇	1	2	yes	—
186	C₂×#106	C₂²×C₁₃₇	1	1	yes	characteristic
187	C₂×#106	C₂²×C₁₃₇	1	1	yes	characteristic
188	C₂×#106	C₂²×C₁₃₇	1	1	yes	characteristic
189	C₂×#106	C₂²×C₁₃₇	1	1	yes	characteristic
190	C₂×#106	C₂²×C₁₃₇	1	2	yes	—
191	C₂×C₄⋊C₈	C₂²×C₁₃₇	1	1	yes	characteristic
192	C₂×C₄×C₈	C₂²×C₁₃₇	1	1	yes	characteristic
193	C₂×C₄×C₈	C₂²×C₁₃₇	1	1	yes	characteristic
194	C₂×C₄×C₈	C₂²×C₁₃₇	1	1	yes	characteristic
195	#400	—	2	2	no	—
196	#398	—	2	2	no	—
197	#389	C₂²×C₁₃₇	1	2	yes	—
198	#389	C₂²×C₁₃₇	1	2	yes	—
199	#387	—	2	2	no	—
200	#387	—	2	2	no	—
201	#384	C₂²×C₁₃₇	1	2	yes	—
202	#382	C₂²×C₁₃₇	1	2	yes	—
203	#382	C₂²×C₁₃₇	1	2	yes	—
204	C₄×C₄⋊C₄	C₂²×C₁₃₇	1	2	yes	—
205	C₄×C₄⋊C₄	C₂²×C₁₃₇	1	1	yes	characteristic
206	#340	C₂²×C₁₃₇	1	2	yes	—
207	#340	C₂²×C₁₃₇	1	2	yes	—
208	#340	C₂²×C₁₃₇	1	2	yes	—
209	#336	C₂²×C₁₃₇	1	1	yes	characteristic
210	#336	C₂²×C₁₃₇	1	1	yes	characteristic
211	C₂²×C₈	C₂³×C₁₃₇	1	1	yes	characteristic
212	C₂²×C₈	C₂³×C₁₃₇	1	1	yes	characteristic
213	C₂²×C₈	C₂³×C₁₃₇	1	1	yes	characteristic
214	C₂²×C₈	C₂³×C₁₃₇	1	1	yes	characteristic
215	C₂×C₄⋊C₄	—	2	2	no	—
216	C₂×C₄⋊C₄	—	2	2	no	—
217	C₂×C₄⋊C₄	—	2	2	no	—
218	C₂×C₄⋊C₄	—	2	2	no	—
219	C₂×C₄⋊C₄	D₄×C₁₃₇	1	2	yes	—
220	C₂×C₄⋊C₄	C₂³×C₁₃₇	1	2	yes	—
221	C₂×C₄⋊C₄	C₂³×C₁₃₇	1	2	yes	—
222	C₂×C₄⋊C₄	C₂³×C₁₃₇	1	2	yes	—
223	C₂×C₄⋊C₄	C₂³×C₁₃₇	1	2	yes	—
224	C₂×C₄²	—	2	2	no	—
225	C₂×C₄²	C₂³×C₁₃₇	1	1	yes	characteristic
226	C₂×C₄²	C₂³×C₁₃₇	1	1	yes	characteristic
227	C₂×C₄²	C₂³×C₁₃₇	1	1	yes	characteristic
228	#107	—	4	2	no	—
229	#107	—	4	2	no	—
230	#106	—	2	2	no	—
231	#106	—	2	2	no	—
232	#106	—	2	2	no	—
233	#106	—	2	2	no	—
234	#106	—	4	2	no	—
235	C₄⋊C₈	Q₈×C₁₃₇	1	4	yes	—
236	C₄×C₈	—	2	2	no	—
237	C₄×C₈	—	2	2	no	—
238	C₄×C₈	Q₈×C₁₃₇	1	4	yes	—
239	#95	—	2	2	no	—
240	#95	—	2	2	no	—
241	#95	—	2	2	no	—
242	#95	—	2	2	no	—
243	#95	—	2	2	no	—
244	#95	—	2	2	no	—
245	#95	—	2	2	no	—
246	#95	D₄×C₁₃₇	1	2	yes	—
247	C₂²×C₄	—	2	2	no	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	2	2	no	—
251	C₂²×C₄	C₂×D₄×C₁₃₇	1	2	yes	—
252	C₂²×C₄	C₂×D₄×C₁₃₇	1	1	yes	characteristic
253	C₂²×C₄	C₂×D₄×C₁₃₇	1	1	yes	characteristic
254	C₂²×C₄	C₂×D₄×C₁₃₇	1	2	yes	—
255	C₂²×C₄	C₂⁴×C₁₃₇	1	1	yes	characteristic
256	C₂×C₈	—	2	1	no	—
257	C₂×C₈	—	2	1	no	—
258	C₂×C₈	—	2	1	no	—
259	C₂×C₈	—	2	1	no	—
260	C₂×C₈	—	2	1	no	—
261	C₂×C₈	—	2	1	no	—
262	C₂×C₈	C₂×Q₈×C₁₃₇	1	2	yes	—
263	C₂×C₈	C₂×Q₈×C₁₃₇	1	2	yes	—
264	C₂×C₈	C₂×Q₈×C₁₃₇	1	2	yes	—
265	C₂×C₈	C₂×Q₈×C₁₃₇	1	2	yes	—
266	C₂×C₈	#41×C₁₃₇	1	2	yes	—
267	C₂×C₈	#41×C₁₃₇	1	2	yes	—
268	C₄⋊C₄	—	2	4	no	—
269	C₄⋊C₄	—	2	2	no	—
270	C₄⋊C₄	—	2	2	no	—
271	C₄⋊C₄	—	2	2	no	—
272	C₄⋊C₄	—	2	2	no	—
273	C₄⋊C₄	—	2	2	no	—
274	C₄⋊C₄	—	2	2	no	—
275	C₄⋊C₄	—	2	2	no	—
276	C₄⋊C₄	—	2	2	no	—
277	C₄⋊C₄	—	4	4	no	—
278	C₄⋊C₄	—	4	4	no	—
279	C₄⋊C₄	—	8	2	no	—
280	C₄⋊C₄	—	8	2	no	—
281	C₄²	—	2	1	no	—
282	C₄²	—	2	1	no	—
283	C₄²	—	2	1	no	—
284	C₄²	—	2	1	no	—
285	C₄²	—	8	2	no	—
286	C₄²	C₂×Q₈×C₁₃₇	1	2	yes	—
287	C₄²	C₂×Q₈×C₁₃₇	1	2	yes	—
288	C₂³	C₂²×D₄×C₁₃₇	1	1	yes	characteristic
289	C₂×C₄	—	2	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	4	2	no	—
297	C₂×C₄	—	4	2	no	—
298	C₂×C₄	—	4	2	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	2	no	—
301	C₂×C₄	—	4	2	no	—
302	C₂×C₄	—	4	2	no	—
303	C₂×C₄	—	4	2	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	4	2	no	—
306	C₂×C₄	—	4	2	no	—
307	C₂×C₄	—	4	2	no	—
308	C₂×C₄	C₄⋊Q₈×C₁₃₇	1	2	yes	—
309	C₂×C₄	C₄⋊Q₈×C₁₃₇	1	2	yes	—
310	C₂×C₄	#135×C₁₃₇	1	4	yes	—
311	C₂×C₄	C₂²×Q₈×C₁₃₇	1	1	yes	characteristic
312	C₂×C₄	C₂²×Q₈×C₁₃₇	1	1	yes	characteristic
313	C₂×C₄	C₂×#41×C₁₃₇	1	1	yes	characteristic
314	C₂×C₄	C₂×#41×C₁₃₇	1	1	yes	characteristic
315	C₂×C₄	H(5,𝔽₂)×C₁₃₇	1	1	yes	characteristic
316	C₂×C₄	2₋¹⁺⁴×C₁₃₇	1	1	yes	characteristic
317	C₈	—	2	2	no	—
318	C₈	—	2	2	no	—
319	C₈	—	2	2	no	—
320	C₈	#125×C₁₃₇	1	4	yes	—
321	C₂²	C₂×C₄⋊Q₈×C₁₃₇	1	1	yes	characteristic
322	C₂²	#547×C₁₃₇	1	1	yes	characteristic
323	C₂²	#550×C₁₃₇	1	1	yes	characteristic
324	C₂²	C₂×#135×C₁₃₇	1	2	yes	—
325	C₂²	#577×C₁₃₇	1	2	yes	—
326	C₄	—	2	4	no	—
327	C₄	—	2	2	no	—
328	C₄	—	2	2	no	—
329	C₄	—	4	2	no	—
330	C₄	—	8	2	no	—
331	C₄	—	8	2	no	—
332	C₄	—	8	2	no	—
333	C₄	—	8	2	no	—
334	C₄	C₂×#125×C₁₃₇	1	1	yes	characteristic
335	C₄	#544×C₁₃₇	1	1	yes	characteristic
336	C₄	#554×C₁₃₇	1	1	yes	characteristic
337	C₄	#557×C₁₃₇	1	1	yes	characteristic
338	C₂	#2552×C₁₃₇	1	1	yes	characteristic
339	C₂	#3160×C₁₃₇	1	1	yes	characteristic
340	C₂	#3163×C₁₃₇	1	1	yes	characteristic
341	C₂	#3337×C₁₃₇	1	2	yes	—
342	C₂	#3394×C₁₃₇	1	2	yes	—

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₃₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃₇
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₇ ◁ C₄×C₄⋊C₄×C₁₃₇ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
171. #28831	C₁₃₇	direct (N × H)
172. C₁₃₇	#28831	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#2570×C₁₃₇	2
#2085×C₁₃₇	2
#2083×C₁₃₇	2
#1949×C₁₃₇	2
#1941×C₁₃₇	2
#1846×C₁₃₇	2
#1844×C₁₃₇	2
C₄×#106×C₁₃₇	2
C₈×C₄⋊C₄×C₁₃₇	2
#28831	137

Subgroups — C137×#28831 #46878217

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₇×#28831 #46878217